Average Error: 0.0 → 0.0
Time: 1.2s
Precision: 64
\[\sqrt{\left|x - y\right|}\]
↓
\[\sqrt{\left|x - y\right|}\]
\sqrt{\left|x - y\right|}
↓
\sqrt{\left|x - y\right|}
double f(double x, double y) {
        double r40483 = x;
        double r40484 = y;
        double r40485 = r40483 - r40484;
        double r40486 = fabs(r40485);
        double r40487 = sqrt(r40486);
        return r40487;
}
↓
double f(double x, double y) {
        double r40488 = x;
        double r40489 = y;
        double r40490 = r40488 - r40489;
        double r40491 = fabs(r40490);
        double r40492 = sqrt(r40491);
        return r40492;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{\left|x - y\right|}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left|x - y\right|}\]

Reproduce

herbie shell --seed 2020021 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))